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Finding the Fourth Proportional to 30,147.96, 45,215.78 and 11,421.54

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Solution

The fourth proportional to 30,147.96, 45,215.78 and 11,421.54 is: 17,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.96 : 45,215.78 = 11,421.54 : x
  2. Step 2: Convert to fraction form
    30,147.96/45,215.78 = 11,421.54/x
  3. Step 3: Cross multiply
    30,147.96x = 45,215.78 × 11,421.54
  4. Step 4: Simplify right side
    30,147.96x = 516,433,556.71
  5. Step 5: Solve for x
    x = 516,433,556.71/30,147.96
  6. Step 6: Final answer
    x = 17,129.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.